Answer:
Step-by-step explanation:
If each day equal chance then p = Prob that a person is borne on a particular day = 1/365
Each person is independent of the other and there are two outcomes either borne in July or not
p = prob for one person not borne in July = (365-31)/365 = 334/365
a)Hence prob that no one from n people borne in July = 
b) p = prob of any one borne in July or Aug = 
=0.1698
X- no of people borne in July or Aug
n =15
P(X>=2) =
=0.7505
Supplementary means they add up to 180
X + 54 = 180
180-54= x
X = 126
126+54=180?
Yep
So your answer is
126
solution:
Z1 = 5(cos25˚+isin25˚)
Z2 = 2(cos80˚+isin80˚)
Z1.Z2 = 5(cos25˚+isin25˚). 2(cos80˚+isin80˚)
Z1.Z2 = 10{(cos25˚cos80˚ + isin25˚cos80˚+i^2sin25˚sin80˚) }
Z1.Z2 =10{(cos25˚cos80˚- sin25˚sin80˚+ i(cos25˚sin80˚+sin25˚cos80˚))}
(i^2 = -1)
Cos(A+B) = cosAcosB – sinAsinB
Sin(A+B) = sinAcosB + cosAsinB
Z1.Z2 = 10(cos(25˚+80˚) +isin(25˚+80˚)
Z1.Z2 = 10(cos105˚+ isin105˚)
Answer:
P = 9x + 22
Step-by-step explanation:
Perimeter = sum of all sides
P = (3x + 11) + (3x + 11) + (3x)
P = 9x + 22
I hope this helps! God bless
Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 = 
( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
